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Finding the Fourth Proportional to 2,136.99, 3,204.84 and 838.14

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Solution

The fourth proportional to 2,136.99, 3,204.84 and 838.14 is: 1,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.99 : 3,204.84 = 838.14 : x
  2. Step 2: Convert to fraction form
    2,136.99/3,204.84 = 838.14/x
  3. Step 3: Cross multiply
    2,136.99x = 3,204.84 × 838.14
  4. Step 4: Simplify right side
    2,136.99x = 2,686,104.60
  5. Step 5: Solve for x
    x = 2,686,104.60/2,136.99
  6. Step 6: Final answer
    x = 1,256.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.